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Finding the Fourth Proportional to 7,114.87, 9,817.62 and 3,971.19

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Solution

The fourth proportional to 7,114.87, 9,817.62 and 3,971.19 is: 5,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.87 : 9,817.62 = 3,971.19 : x
  2. Step 2: Convert to fraction form
    7,114.87/9,817.62 = 3,971.19/x
  3. Step 3: Cross multiply
    7,114.87x = 9,817.62 × 3,971.19
  4. Step 4: Simplify right side
    7,114.87x = 38,987,614.51
  5. Step 5: Solve for x
    x = 38,987,614.51/7,114.87
  6. Step 6: Final answer
    x = 5,479.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.